What is the limit as x approaches 1 of (inx)/(x-1) ?

The limit as x approaches 1 of (inx)/(x-1) is diverges

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limit as x approaches 1 of (inx)/(x-1)

x \to 1 lim (\frac{in x}{x - 1})

diverges

Solution steps

x \to 1 lim (\frac{in x}{x - 1})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 1 + lim (\frac{in x}{x - 1}) = \infty

x \to 1 - lim (\frac{in x}{x - 1}) = - \infty

= diverges

\frac{1}{x + 1}

\int x (x^{2} - 1)^{7} d x

\int 5 x (x^{4} - \frac{1}{5}) d x

\int_{2}^{4} \frac{( x + y )}{55} d y

f (x) = 12 x + x

What is the limit as x approaches 1 of (inx)/(x-1) ?
The limit as x approaches 1 of (inx)/(x-1) is diverges